What is the slope-intercept form of the line passing through # (0, 6) # and # (3, -2) #?
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The slope-intercept form of a line is given by the equation (y = mx + b), where (m) is the slope of the line and (b) is the y-intercept.
To find the slope, use the formula (m = \frac{y2 - y1}{x2 - x1}) with the points ((0, 6)) and ((3, -2)):
(m = \frac{-2 - 6}{3 - 0})
(m = \frac{-8}{3})
Now, substitute the slope (m) and one of the points ((0, 6)) into the slope-intercept form equation to find (b):
(6 = \frac{-8}{3} \times 0 + b)
(b = 6)
Therefore, the equation of the line in slope-intercept form is (y = -\frac{8}{3}x + 6).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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